The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A194066 Natural fractal sequence of A087483; a rectangular array, by antidiagonals. 2
 1, 1, 2, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS See A194029 for definitions of natural fractal sequence and natural interspersion. LINKS MATHEMATICA z = 70; c[k_] := 1 + Floor[(1/3) k^2]; c = Table[c[k], {k, 1, z}]  (* A087483 *) f[n_] := If[MemberQ[c, n], 1, 1 + f[n - 1]] f = Table[f[n], {n, 1, 300}]   (* A194066 *) r[n_] := Flatten[Position[f, n]] t[n_, k_] := r[n][[k]] TableForm[Table[t[n, k], {n, 1, 7}, {k, 1, 7}]] p = Flatten[Table[t[k, n - k + 1], {n, 1, 14}, {k, 1, n}]] (* A194067 *) q[n_] := Position[p, n]; Flatten[Table[q[n], {n, 1, 90}]] (* A194068 *) CROSSREFS Cf. A194029, A194067, A087483. Sequence in context: A122197 A030718 A227779 * A308916 A353171 A182628 Adjacent sequences:  A194063 A194064 A194065 * A194067 A194068 A194069 KEYWORD nonn,tabl AUTHOR Clark Kimberling, Aug 14 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified June 26 06:36 EDT 2022. Contains 354877 sequences. (Running on oeis4.)